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Q. No.Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
In the light of the above statements, choose the correct answer from the options given below:
| Assertion (A): | The potential \((V)\) at any axial point, at \(2~\text m\) distance (\(r\)) from the centre of the dipole of dipole moment vector \(\vec P\) of magnitude, \(4\times10^{-6}~\text{C m},\) is \(\pm9\times10^3~\text{V}.\) (Take \({\dfrac{1}{4\pi\varepsilon_0}}=9\times10^9\) SI units) |
| Reason (R): | \(V=\pm{\dfrac{2P}{4\pi\varepsilon_0r^2}},\) where \(r\) is the distance of any axial point situated at \(2~\text m\) from the centre of the dipole. |
| 1. | Both (A) and (R) are True and (R) is not the correct explanation of (A). |
| 2. | (A) is True but (R) is False. |
| 3. | (A) is False but (R) is True. |
| 4. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
Subtopic: Electric Potential |
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NEET - 2024
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In the following circuit, the equivalent capacitance between terminal \(A\) and terminal \(B\) is:
1. \(1~\mu\text F\)
2. \(0.5~\mu\text F\)
3. \(4~\mu\text F\)
4. \(2~\mu\text F\)
1. \(1~\mu\text F\)
2. \(0.5~\mu\text F\)
3. \(4~\mu\text F\)
4. \(2~\mu\text F\)
Subtopic: Combination of Capacitors |
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NEET - 2024
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A thin spherical shell is charged by some source. The potential difference between the two points \(C\) and \(P\) (in V) shown in the figure is:
( Take \(\dfrac{1}{4 \pi \epsilon_0}=9 \times 10^9\) SI units)
1. \(1 \times 10^5\)
2. \(0.5 \times 10^5\)
3. \(\text{zero}\)
4. \(3 \times 10^5\)
( Take \(\dfrac{1}{4 \pi \epsilon_0}=9 \times 10^9\) SI units)
1. \(1 \times 10^5\)
2. \(0.5 \times 10^5\)
3. \(\text{zero}\)
4. \(3 \times 10^5\)
Subtopic: Electric Potential |
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NEET - 2024
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If the plates of a parallel plate capacitor connected to a battery are moved close to each other, then:
Choose the most appropriate answer from the options given below:
1. \(\mathrm {A,C}\) and \(\mathrm E\) only
2. \(\mathrm {B,D }\) and \(\mathrm E\) only
3. \(\mathrm{A,B}\) and \(\mathrm C\) only
4. \(\mathrm{A,B}\) and \(\mathrm E\) only
| \(\mathrm A.\) | the charge stored in it, increases. |
| \(\mathrm B.\) | the energy stored in it, decreases. |
| \(\mathrm C.\) | its capacitance increases. |
| \(\mathrm D.\) | the ratio of charge to its potential remains the same. |
| \(\mathrm E.\) | the product of charge and voltage increases. |
Choose the most appropriate answer from the options given below:
1. \(\mathrm {A,C}\) and \(\mathrm E\) only
2. \(\mathrm {B,D }\) and \(\mathrm E\) only
3. \(\mathrm{A,B}\) and \(\mathrm C\) only
4. \(\mathrm{A,B}\) and \(\mathrm E\) only
Subtopic: Energy stored in Capacitor |
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NEET - 2024
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A dielectric slab of dielectric constant \(3\) having the same area of cross-section as that of parallel plate capacitor but of thickness \({\dfrac{3}{4}}^{\text{th}}\) of the separation of the plates is inserted into the capacitor. The ratio of potential difference across the plates without dielectric to that with dielectric is:
1. \(1:2\)
2. \(2:3\)
3. \(3:2\)
4. \(2:1\)
1. \(1:2\)
2. \(2:3\)
3. \(3:2\)
4. \(2:1\)
Subtopic: Dielectrics in Capacitors |
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NEET - 2024
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A \(12~\text{pF}\) capacitor is connected to a \(50~\text V\) battery, and the electrostatic energy stored in the capacitor in \(\text{nJ}\) is:
1. \(15\)
2. \(7.5\)
3. \(0.3\)
4. \(150\)
1. \(15\)
2. \(7.5\)
3. \(0.3\)
4. \(150\)
Subtopic: Energy stored in Capacitor |
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NEET - 2024
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The capacitance of a capacitor with charge \(q\) and a potential difference \(V\) depends on:
| 1. | both \(q\) and \(V\) |
| 2. | the geometry of the capacitor |
| 3. | \(q\) only |
| 4. | \(V\) only |
Subtopic: Capacitance |
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The value of the electric potential at a distance of \(9~\text{cm}\) from the point charge \(4\times10^{-7}~\text{C}\) is:
\(\left[\mathrm{Given}\dfrac{1}{4\pi\varepsilon_{0}}=9\times10^{9}~\text{N m}^{2}~\text{C}^{-2}\right]\)
\(\left[\mathrm{Given}\dfrac{1}{4\pi\varepsilon_{0}}=9\times10^{9}~\text{N m}^{2}~\text{C}^{-2}\right]\)
| 1. | \(4\times10^2~\text V\) | 2. | \(44.4~\text V\) |
| 3. | \(4.4\times10^5~\text V\) | 4. | \(4\times10^4~\text V\) |
Subtopic: Electric Potential |
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NEET - 2024
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The equivalent capacitance of the system shown in the following circuit is:
| 1. | \(9~{\mu \text{F}}\) | 2. | \(2~{\mu \text{F}}\) |
| 3. | \(3~{\mu \text{F}}\) | 4. | \(6~{\mu \text{F}}\) |
Subtopic: Combination of Capacitors |
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From NCERT
NEET - 2023
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An electric dipole is placed as shown in the figure.
The electric potential (in \(10^2~\text{V}\)) at the point \(P\) due to the dipole is:
(\(\varepsilon_0=\) permittivity of free space and \(\dfrac{1}{4 \pi \varepsilon_0}=k\))
The electric potential (in \(10^2~\text{V}\)) at the point \(P\) due to the dipole is:
(\(\varepsilon_0=\) permittivity of free space and \(\dfrac{1}{4 \pi \varepsilon_0}=k\))
| 1. | \(\left(\dfrac{8}{3}\right)qk\) | 2. | \(\left(\dfrac{3}{8}\right)qk\) |
| 3. | \(\left(\dfrac{5}{8}\right)qk\) | 4. | \(\left(\dfrac{8}{5}\right)qk\) |
Subtopic: Energy of Dipole in an External Field |
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NEET - 2023
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